We can use proportions from the arc length formula to find the angle.
Substitute the given arc length and radius to determine the angle represented as theta.
Let 3.14 be the approximate value of pi.
Cross multiply the proportional ratios.
Therefore, the degree measure of the arc is 90°
(ノ^_^)ノ
Where θ is the central angle.
By the central angle theorem, central angle is equal to it's intercepted arc.
GIVEN:
Arc Length = 12.56cm
R = 8cm
SOLVE FOR θ :
let x = θ
arc length 2πr(θ/360⁰)
12.56 = 2π(8) (x/360⁰)
x = 86.5 → see the image for solution :)
θ = 89.95⁰
#correct me if I'm wrong
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✒️ARC LENGTH
We can use proportions from the arc length formula to find the angle.
Substitute the given arc length and radius to determine the angle represented as theta.
Let 3.14 be the approximate value of pi.
Cross multiply the proportional ratios.
Therefore, the degree measure of the arc is 90°
(ノ^_^)ノ
THE FORMULA OF A ARC LENGTH IS:
2πr (θ/360⁰)
Where θ is the central angle.
By the central angle theorem, central angle is equal to it's intercepted arc.
GIVEN:
Arc Length = 12.56cm
R = 8cm
SOLVE FOR θ :
let x = θ
arc length 2πr(θ/360⁰)
12.56 = 2π(8) (x/360⁰)
x = 86.5 → see the image for solution :)
θ = 89.95⁰
I hope it's help
#correct me if I'm wrong